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492222482432 = 2113724192
BaseRepresentation
bin1110010100110101011…
…11110000100000000000
31202001111211102212212022
413022122233300200000
531031032423414212
61014042432021012
750363506032122
oct7123257604000
91661454385768
10492222482432
1117a82883942a
127b490391768
1337554a34285
1419b76311212
15cc0ce33772
hex729abf0800

492222482432 has 108 divisors (see below), whose sum is σ = 1013943568365. Its totient is φ = 238888083456.

The previous prime is 492222482429. The next prime is 492222482443. The reversal of 492222482432 is 234284222294.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 397121790976 + 95100691456 = 630176^2 + 308384^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=496096.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1174755119 + ... + 1174755537.

Almost surely, 2492222482432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 492222482432

492222482432 is an abundant number, since it is smaller than the sum of its proper divisors (521721085933).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

492222482432 is an frugal number, since it uses more digits than its factorization.

492222482432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 934 (or 458 counting only the distinct ones).

The product of its digits is 884736, while the sum is 44.

The spelling of 492222482432 in words is "four hundred ninety-two billion, two hundred twenty-two million, four hundred eighty-two thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 32 37 64 74 128 148 256 296 419 512 592 838 1024 1184 1369 1676 2048 2368 2738 3352 4736 5476 6704 9472 10952 13408 15503 18944 21904 26816 31006 37888 43808 53632 62012 75776 87616 107264 124024 175232 175561 214528 248048 350464 351122 429056 496096 573611 700928 702244 858112 992192 1147222 1401856 1404488 1984384 2294444 2803712 2808976 3968768 4588888 5617952 6495757 7937536 9177776 11235904 12991514 15875072 18355552 22471808 25983028 31750144 36711104 44943616 51966056 73422208 89887232 103932112 146844416 179774464 207864224 240343009 293688832 359548928 415728448 480686018 587377664 831456896 961372036 1174755328 1662913792 1922744072 3325827584 3845488144 6651655168 7690976288 13303310336 15381952576 30763905152 61527810304 123055620608 246111241216 492222482432